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Finding the Fourth Proportional to 5,838.29, 8,746.15 and 4,889.98

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Solution

The fourth proportional to 5,838.29, 8,746.15 and 4,889.98 is: 7,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.29 : 8,746.15 = 4,889.98 : x
  2. Step 2: Convert to fraction form
    5,838.29/8,746.15 = 4,889.98/x
  3. Step 3: Cross multiply
    5,838.29x = 8,746.15 × 4,889.98
  4. Step 4: Simplify right side
    5,838.29x = 42,768,476.71
  5. Step 5: Solve for x
    x = 42,768,476.71/5,838.29
  6. Step 6: Final answer
    x = 7,325.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.